106830480960

Names of 106830480960

• Cardinal: 106830480960 can be written as One hundred six billion, eight hundred thirty million, four hundred eighty thousand, nine hundred sixty.

Scientific notation

• Scientific notation: 1.0683048096 × 10¹¹

Factors of 106830480960

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1360

Divisors of 106830480960

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 23 24 27 28 30 32 35 36 40 42 45 46 48 54 56 60 61 63 64 69 70 72 80 84 90 92 96 105 108 112 115 120 122 126 135 138 140 144 160 161 168 180 183 184 189 192 207 210 216 224 230 240 244 252 270 276 280 288 305 315 320 322 336 345 360 366 368 378 414 420 427 432 448 460 480 483 488 504 540 549 552 560 576 610 621 630 644 672 690 720 732 736 756 805 828 840 854 864 915 920 945 960 966 976 1008 1035 1080 1098 1104 1120 1220 1242 1259 1260 1281 1288 1344 1380 1403 1440 1449 1464 1472 1512 1610 1647 1656 1680 1708 1728 1830 1840 1890 1932 1952 2016 2070 2135 2160 2196 2208 2240 2415 2440 2484 2518 2520 2562 2576 2745 2760 2806 2880 2898 2928 3024 3105 3220 3294 3312 3360 3416 3660 3680 3777 3780 3843 3864 3904 4032 4140 4209 4270 4320 4347 4392 4416 4830 4880 4968 5036 5040 5124 5152 5490 5520 5612 5796 5856 6048 6210 6295 6405 6440 6588 6624 6720 6832 7015 7245 7320 7360 7554 7560 7686 7728 8235 8280 8418 8540 8640 8694 8784 8813 9660 9760 9821 9936 10072 10080 10248 10304 10980 11040 11224 11331 11529 11592 11712 12096 12420 12590 12627 12810 12880 13176 13248 13664 14030 14490 14640 15108 15120 15372 15456 16470 16560 16836 17080 17388 17568 17626 18885 19215 19320 19520 19642 19872 20144 20160 20496 21045 21735 21960 22080 22448 22662 23058 23184 24840 25180 25254 25620 25760 26352 26439 27328 28060 28957 28980 29280 29463 30216 30240 30744 30912 32940 33120 33672 33993 34160 34776 35136 35252 37770 37881 38430 38640 39284 39744 40288 40992 42090 43470 43920 44065 44896 45324 46116 46368 49105 49680 50360 50508 51240 51520 52704 52878 56120 56655 57645 57914 57960 58560 58926 60432 60480 61488 63135 65880 66240 67344 67986 68320 69552 70504 75540 75762 76799 76860 77280 78568 79317 80576 81984 84180 86871 86940 87840 88130 88389 89792 90648 92232 92736 98210 99360 100720 101016 102480 105408 105756 112240 113310 115290 115828 115920 117852 120864 122976 126270 131760 132195 134688 135972 136640 139104 141008 144785 147315 151080 151524 153598 153720 154560 157136 158634 168360 169965 173742 173880 175680 176260 176778 181296 184464 189405 196420 198720 201440 202032 202699 204960 211512 224480 226620 230397 230580 231656 231840 235704 237951 241728 245952 252540 260613 263520 264390 265167 269376 271944 278208 282016 289570 294630 302160 303048 307196 307440 314272 317268 336720 339930 347484 347760 352520 353556 362592 368928 378810 383995 392840 396585 402880 404064 405398 409920 423024 434355 441945 448960 453240 460794 461160 463312 463680 471408 475902 505080 521226 527040 528780 530334 537593 543888 564032 579140 589260 604320 606096 608097 614392 614880 628544 634536 673440 679860 691191 694968 695520 705040 707112 725184 737856 757620 767990 781839 785680 793170 808128 810796 846048 868710 883890 906480 921588 922320 926624 942816 951804 1010160 1013495 1042452 1057560 1060668 1075186 1087776 1151985 1158280 1178520 1189755 1208640 1212192 1216194 1228784 1229760 1269072 1303065 1325835 1346880 1359720 1382382 1389936 1391040 1410080 1414224 1515240 1535980 1563678 1571360 1586340 1612779 1621592 1692096 1737420 1766377 1767780 1812960 1824291 1843176 1844640 1853248 1885632 1903608 2020320 2026990 2073573 2084904 2115120 2121336 2150372 2175552 2303970 2316560 2357040 2379510 2424384 2432388 2457568 2538144 2606130 2651670 2687965 2719440 2764764 2779872 2820160 2828448 3030480 3040485 3071960 3127356 3142720 3172680 3225558 3243184 3455955 3474840 3532754 3535560 3625920 3648582 3686352 3689280 3807216 3909195 4040640 4053980 4147146 4169808 4230240 4242672 4300744 4607940 4633120 4714080 4759020 4838337 4864776 4915136 5076288 5212260 5299131 5303340 5375930 5438880 5472873 5529528 5559744 5656896 6060960 6080970 6143920 6254712 6345360 6451116 6486368 6911910 6949680 7065508 7071120 7297164 7372704 7614432 7818390 8063895 8107960 8294292 8339616 8460480 8485344 8601488 8831885 9121455 9215880 9266240 9428160 9518040 9676674 9729552 10367865 10424520 10598262 10606680 10751860 10877760 10945746 11059056 12121920 12161940 12287840 12364639 12509424 12690720 12902232 12972736 13823820 13899360 14131016 14142240 14515011 14594328 14745408 15228864 15636780 15897393 16127790 16215920 16588584 16679232 16970688 17202976 17663770 18242910 18431760 19036080 19353348 19459104 20735730 20849040 21196524 21213360 21503720 21891492 22118112 24191685 24323880 24575680 24729278 25018848 25381440 25804464 26495655 27364365 27647640 27798720 28262032 28284480 29030022 29188656 31273560 31794786 32255580 32431840 33177168 34405952 35327540 36485820 36863520 37093917 38072160 38706696 38918208 41471460 41698080 42393048 42426720 43007440 43782984 44236224 47692179 48383370 48647760 49458556 50037696 51608928 52991310 54728730 55295280 56524064 58060044 58377312 61823195 62547120 63589572 64511160 64863680 66354336 70655080 72575055 72971640 73727040 74187834 76144320 77413392 79486965 82942920 83396160 84786096 84853440 86014880 87565968 95384358 96766740 97295520 98917112 103217856 105982620 109457460 110590560 111281751 113048128 116120088 116754624 123646390 125094240 127179144 129022320 132708672 141310160 145150110 145943280 148375668 154826784 158973930 165885840 169572192 172029760 175131936 185469585 190768716 193533480 194591040 197834224 211965240 218914920 221181120 222563502 232240176 238460895 247292780 250188480 254358288 258044640 282620320 290300220 291886560 296751336 309653568 317947860 331771680 333845253 339144384 350263872 370939170 381537432 387066960 395668448 423930480 437829840 445127004 464480352 476921790 494585560 508716576 516089280 556408755 565240640 580600440 583773120 593502672 635895720 663543360 667690506 741878340 763074864 774133920 791336896 847860960 875659680 890254008 928960704 953843580 989171120 1017433152 1112817510 1161200880 1187005344 1271791440 1335381012 1483756680 1526149728 1548267840 1669226265 1695721920 1751319360 1780508016 1907687160 1978342240 2225635020 2322401760 2374010688 2543582880 2670762024 2967513360 3052299456 3338452530 3561016032 3815374320 3956684480 4451270040 4644803520 5087165760 5341524048 5935026720 6676905060 7122032064 7630748640 8902540080 10683048096 11870053440 13353810120 15261497280 17805080160 21366096192 26707620240 35610160320 53415240480 106830480960
• Sum of all divisors σ(n): 457170739200
• Sum of proper divisors (its aliquot sum) s(n): 350340258240
• 106830480960 is an abundant number, because the sum of its proper divisors (350340258240) is greater than itself. Its abundance is 243509777280

Bases of 106830480960

• Binary: 1100011011111100101111100011001000000₂
• Hexadecimal: 0x18DF97C640
• Base-36: 1D2S3YO0

Squares and roots of 106830480960

• 106830480960 squared (106830480960²) is 11412751662144922521600
• 106830480960 cubed (106830480960³) is 1219229749143981498204463988736000
• The square root of 106830480960 is 326849.3245518491
• The cube root of 106830480960 is 4744.9509557249

Scales and comparisons

• 106,830,480,960 seconds is equal to 3,396 years, 45 weeks, 4 days, 21 hours, 36 minutes.
• To count from 1 to 106,830,480,960 would take you about six thousand, seven hundred ninety-three years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 106830480960 cubic inches would be around 395.4 feet tall.

Recreational maths with 106830480960

• 106830480960 backwards is 069084038601
• 106830480960 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 106830480960's digits is 45
• More coming soon!